Peculiarities of dynamics of one-dimensional discrete systems with interaction extending beyond nearest neighbors, and the role of higher dispersion in soliton dynamics

Kosevich, A. M.; Савотченко, С. Е.

doi:10.1063/1.593783

Cited by 24 publications

(15 citation statements)

References 6 publications

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“…25. In paper [26], the problem of phonon reflection from point defect in 1D lattice with nearest-neighbour and next-to-nearest neighbour interactions, including local neighbourhood of the defect, was considered once again. The total phonon reflection from the point defect was described, which was related, similar to the description of this effect in Ref.…”

Section: Resonance Absorption Reflection Transmission Of Phonons Anmentioning

confidence: 99%

Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

Kosevich

Feher

Syrkin

2008

Low Temperature Physics

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The different mechanisms of resonant transport of phonons between two media in the presence of impurity intermediate layer are described. Particular attention is focused on the resonance interaction of elastic waves with a two-dimensional defect on the contact boundary between two solids, on the multichannel interface phonon scattering and on the experimentally observed nonmonotonic temperature dependence of the reduced heat flux. In the cases when there is a direct interaction between edge atoms of the matrix as non-nearest neighbors or when the impurities do not fill completely the 2D interface layer, the additional channel for the transmission of phonons through the interface opens. This additional transmission channel manifests itself as a transmission (or reflection or absorption) peak with an asymmetric line shape (the so-called Fano resonance for phonons due to interference between the two transmission channels). Some applications of the Fano effect in magnon heat conductivity are also discussed. PACS: 63.20.-e Phonons in crystal lattices.

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Section: Resonance Absorption Reflection Transmission Of Phonons Anmentioning

confidence: 99%

Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

Kosevich

Feher

Syrkin

2008

Low Temperature Physics

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“…It corresponds to the Taylor series expansion of discrete equations (3)- (5). It was shown in the Ref.…”

Section: Introductionmentioning

confidence: 98%

“…It was shown in the Ref. [5] that taking into account interaction with the second neighbors in the one-dimension chain at transition to the longwave approximation leads to appearing the spatial derivatives of the fourth order in the equations of motion and to redefining a velocity (and frequency) of proper sound waves. As a result of such a correct transition to the longwave approximation, we receive from Eqs.…”

Section: Introductionmentioning

confidence: 98%

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Peculiarities of soliton motion in molecular systems with high dispersion

Krasilnikov¹,

Савотченко

2004

phys. stat. sol. (c)

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In this work, features of propagating protons along molecular chain of hydrogen bonds are described from position of soliton dynamics with taking into account interaction of first and second neighbors of a proton sublattice. It is proposed extension of the model that is an endless chain of water molecules in which formation of hydrogen bonds is due to participating one proton of every water molecule, a second proton no participating in hydrogen bond and being confined by covalent bond of an oxygen atom. Nonlinearity is due to peculiar properties of proton sublattice potential. The model used to obtain continual equations which contain the spatial derivatives of the fourth order that is related with dispersion of longwave oscillations. The availability of such a dispersion changes essentially dynamics of the molecular chain, which allows of manifesting new peculiarities of propagating nonlinear excitations. It is shown there are two new sorts of charge density excitations transferred by solitons determined as exact analytic dependences in such a system. . Such equations can occur in describing long wave oscillations of discrete crystal lattices taking the nearest neighbors into account [5,6]. In this work, it is represented considering peculiarities of propagating nonlinear excitations in a hydrogen bond molecular chain with interaction between the nearest and second neighbor particles. Due to this interaction, the derivatives of higher order are in the continual equations of motion. The presence of such derivatives of the order exceeding the second one causes higher dispersion effects having new peculiarities of propagating the longwave excitations in the chain.It is well known a proton conductivity is higher along hydrogen bond one-dimensional chains in certain crystal phase compounds (hard spirits, carbohydrates) by several orders than in a cross direction [7]. Besides it is known proton mobility in ice crystals is lower by only the one order than electron mobility in metals [8][9][10][11]. The basic proposition of the ice proton conductivity theory is a proton can be transferred along the chain as two ion defects: hydroxonium ion H 3 O + and hydroxyl ion OH − created by water molecule dissociation due to transferring one of its protons to a neighbor molecule according to the reaction scheme: 2H 2 O∆OH − +H 3 O

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“…The derivation of these conditions is held based on the linearization of the evolution equation. The same phenomena were considered while analyzing the scattering of excitations in non‐linear media with a spatial dispersion 11, 12.…”

Section: Introductionmentioning

confidence: 99%

9th International Conference on Circular Dichroism in Chemistry and Life Sciences

Berova

Hollósi

2004

Chirality

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Hungary, under the chairmanship of M. Hollosi and S. Antus.Due to the increasing demand for enantiomerically pure products by drug-and food-related industries, as well as a better understanding of the critical role of chirality in various biological processes, during the past 10 -15 years chiroptical spectroscopy has undergone an explosive development on all fronts, from theory to practical applications. As an analytical tool, CD spectroscopy is applied today in the most diverse fields, ranging from exploration of the origin of homochirality of biomolecules to asymmetric catalysis and chiral separation.CD 2003 was dedicated to recent chiroptical techniques including vibrational optical activity (vibrational CD, VCD, and Raman optical activity, ROA), fluorescence, and solid state CD. Special emphasis was given to the theory of chiroptical spectroscopy, to determination of absolute configuration by using the methods of optical rotation, electronic circular dichroism (ECD), vibrational optical activity (VCD and ROA), and computational techniques based on Density Functional Theory. In addition to the Kajtár-Snatzke Memorial Lecture, the program included a series of plenary and keynote lectures, oral and poster presentations, and for the first time, a forum of young scientists. Since CD is inherently linked with molecular chirality, it is therefore appropriate that some of these presentations appear in this journal during 2004.

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Peculiarities of dynamics of one-dimensional discrete systems with interaction extending beyond nearest neighbors, and the role of higher dispersion in soliton dynamics

Cited by 24 publications

References 6 publications

Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

Resonance absorption, reflection, transmission of phonons and heat transfer through interface between two solids

Peculiarities of soliton motion in molecular systems with high dispersion

9th International Conference on Circular Dichroism in Chemistry and Life Sciences

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